10004

10,004 is an even composite number composed of three prime numbers multiplied together.

What does the number 10004 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 12 divisors.

10004 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twelve divisors.

Prime factorization of 10004:

22 × 41 × 61

(2 × 2 × 41 × 61)

See below for interesting mathematical facts about the number 10004 from the Numbermatics database.


Names of 10004

  • Cardinal: 10004 can be written as Ten thousand and four.

Scientific notation

  • Scientific notation: 1.0004 × 104

Factors of 10004

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 4
  • Sum of prime factors: 104

Divisors of 10004

  • Number of divisors d(n): 12
  • Complete list of divisors:
  • Sum of all divisors σ(n): 18228
  • Sum of proper divisors (its aliquot sum) s(n): 8224
  • 10004 is a deficient number, because the sum of its proper divisors (8224) is less than itself. Its deficiency is 1780

Bases of 10004

  • Binary: 100111000101002
  • Hexadecimal: 0x2714
  • Base-36: 7PW

Squares and roots of 10004

  • 10004 squared (100042) is 100080016
  • 10004 cubed (100043) is 1001200480064
  • The square root of 10004 is 100.0199980004
  • The cube root of 10004 is 21.5472190969

Scales and comparisons

How big is 10004?
  • 10,004 seconds is equal to 2 hours, 46 minutes, 44 seconds.
  • To count from 1 to 10,004 would take you about two hours.

    This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

  • A cube with a volume of 10004 cubic inches would be around 1.8 feet tall.

Recreational maths with 10004

  • 10004 backwards is 40001
  • The number of decimal digits it has is: 5
  • The sum of 10004's digits is 5
  • More coming soon!

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"Number 10004 - Facts about the integer". Numbermatics.com. 2024. Web. 24 April 2024.

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Numbermatics. (2024). Number 10004 - Facts about the integer. Retrieved 24 April 2024, from https://numbermatics.com/n/10004/

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The information we have on file for 10004 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

Keywords: Divisors of 10004, math, Factors of 10004, curriculum, school, college, exams, university, Prime factorization of 10004, STEM, science, technology, engineering, physics, economics, calculator, ten thousand and four.

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